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If \(5^x=100\), what is the value of \(5^{x+2}\)?

 May 13, 2022

Best Answer 

 #1
avatar+1382 
+2

Note that \(5^{x+2} = 5^x \times 5^2\)

 

We know that \(5^x = 100\), so \(5^{x+2} = 100 \times 5^2 = \text{____}\)

 May 13, 2022
 #1
avatar+1382 
+2
Best Answer

Note that \(5^{x+2} = 5^x \times 5^2\)

 

We know that \(5^x = 100\), so \(5^{x+2} = 100 \times 5^2 = \text{____}\)

BuilderBoi May 13, 2022
 #2
avatar+13581 
+2

\(If\ 5^x=100,wath\ is\ the\ value\ of\ 5^{x+2}\ ?\)

 

Hello Guest!

 

\(5^x=100\\ x\cdot lg\ 5=2\)

\(x=\frac{2}{lg\ 5}\\ 5^{\frac{2}{lg\ 5}+2}=\color{blue}2500\)

laugh  !

 May 13, 2022

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